1
WB JEE 2012
+2
-0.67
Let p, q and r be the altitudes of a triangle with area S and perimeter 2t. Then, the value of $${1 \over p} + {1 \over q} + {1 \over r}$$ is
A
$${S \over t}$$
B
$${t \over S}$$
C
$${S \over {2t}}$$
D
$${{2S} \over t}$$
2
WB JEE 2023
+1
-0.25

ABC is an isosceles triangle with an inscribed circle with centre O. Let P be the midpoint of BC. If AB = AC = 15 and BC = 10, then OP equals

A
$${{\sqrt 5 } \over {\sqrt 2 }}$$ unit
B
$${5 \over {\sqrt 2 }}$$ unit
C
$$2\sqrt 5$$ unit
D
$$5\sqrt 2$$ unit
3
WB JEE 2019
+1
-0.25
The three sides of a right angled triangle are in GP (geometric progression). If the two acute angles be $$\alpha$$ and $$\beta$$, then tan$$\alpha$$ and tan$$\beta$$ are
A
$${{\sqrt 5 + 1} \over 2}$$ and $${{\sqrt 5 - 1} \over 2}$$
B
$$\sqrt {{{\sqrt 5 + 1} \over 2}}$$ and $$\sqrt {{{\sqrt 5 - 1} \over 2}}$$
C
$${\sqrt 5 }$$ and $${1 \over {\sqrt 5 }}$$
D
$${{\sqrt 5 } \over 2}$$ and $${2 \over {\sqrt 5 }}$$
4
WB JEE 2019
+1
-0.25
The angles of a triangle are in the ratio 2 : 3 : 7 and the radius of the circumscribed circle is 10 cm. The length of the smallest side is
A
2 cm
B
5 cm
C
7 cm
D
10 cm
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